Space–time prisms are used to model the uncertainty of space–time locations of moving objects between (for instance, GPS-measured) sample points. However, not all space–time points in a prism are equally likely and we propose a simple, formal model for the so-called “visit probability” of space–time points within prisms. The proposed mathematical framework is based on a binomial random walk within one- and two-dimensional space–time prisms. Without making any assumptions on the random walks (we do not impose any distribution nor introduce any bias towards the second anchor point), we arrive at the conclusion that binomial random walk-based visit probability in space–time prisms corresponds to a hypergeometric distribution.

中文翻译：

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基于二项式随机游走的时空棱镜的访问概率

时空棱镜用于建模（例如，GPS测量的）采样点之间的运动对象的时空位置的不确定性。但是，并非棱镜中的所有时空点都具有同等的可能性，我们针对棱镜中的时空点的所谓“访问概率”提出了一个简单的形式化模型。所提出的数学框架基于一维和二维时空棱镜内的二项式随机游动。在不对随机游走做出任何假设的情况下（我们不施加任何分布，也不对第二锚点引入任何偏差），我们得出的结论是，时空棱镜中基于二项式随机游走的访问概率对应于超几何分布。